How is "cruel and unusual punishment" defined by the Eighth Amendment?

$$\begin{array} { l } { \text { A car leaves an intersection traveling west. Its position } } \\ \text{ }{ 4 \text { sec later is } 20 \text { ft from the intersection. At the same time, } } \\ { \text { another car leaves the same intersection heading north so } } \\ { \text { that its position } 4 \text { sec later is } 28 \text { ft from the intersection. If } } \\ { \text { the speeds of the cars at that instant of time are } 9 \mathrm { ft } / \mathrm { sec } \text { and } } \\ \text{ }{ 11 \text { ft/sec, respectively, find the rate at which the distance } } \\ { \text { between the two cars is changing. } } \end{array}$$

Solve each proportion and check.

$$\frac { y + 10 } { 10 } = \frac { y - 2 } { 4 }$$

Identify each of the following compounds from the

$$^1H NMR$$

data and molecular formula: 55. a. C_4H_8Br_2: a 6H singlet at 1.97 ppm, a 2H singlet at 3.89 ppm; b.

$$C_8H_9Br:$$

a 3H doublet at 2.01 ppm, a 1H quartet at 5.14 ppm, a 5H broad singlet at 7.35 ppm

What distinguishes fundamental law from statutory law?

How did the U.S. Supreme Court rule in the case of Schenck v. United States (1919)?

How do you solve equations that contain multiplication or division?

By considering different paths of approach, show that the functions have no limit as

$$( x , y ) \rightarrow ( 0,0 ).$$

$$g ( x , y ) = \frac { x ^ { 2 } - y } { x - y }$$

Let $p$ be an integer other than $0, \pm 1$. Prove that $p$ is prime if and only if for each $a \in \mathbb{Z}$ either $(a,p) = 1$ or $p \; | \; a$.

Find each percent of increase. from 50 to 66.

Write three ratios equivalent to the ratio described in the situation. The ratio of boys to girls on the bus is

$$\frac{20}{15}.$$

Fingerprints are considered to be a form of class evidence.

Determine the domain and the range of each function.

$$f ( x ) = \cos \left( \cos ^ { - 1 } x \right)$$

Use a graphing calculator to graph the equation of the circle. Identify the radius and the intercepts.

$$64 - x ^ { 2 } = y ^ { 2 }$$